Finite Group DatabasebetaFinite Group Databasebeta| order | 3159 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C13×#733 ⋊ C3 |
| Sylow | C13 ⋊ #6913 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 351 |
Polycyclic presentation:
3^5,13|c^3=e,b^a=bd,d^a=de,f^a=f^3,c^b=ce,f^b=f^9,f^c=f^9103 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3159, 291);